Not very helpful answers so far. I'll try to do better.
I was about your age (14) when I started experimenting with nudity, overcame my terrible phobias of it, and took on the naturist/nudist lifestyle for myself. Unfortunately I had to keep it very much secret from my family because they're the ones who raised me to have such terrible phobias about nudity in the first place. As a result I had to be nude only when I was home alone, or find other times and places where I could go nude. That included outdoors at night, out in the woods during the daytime, and in later years going to a county park beach for nighttime skinnydipping and to some state land for nature walks through the woods.
What you do and how you do it really depends on your family's attitudes. They may not be nudists themselves, but how open minded are they? Do you have the kind of relationship with them that you can talk to them about anything without fear of ridicule or embarrassment? Or will they be quick to criticize, judge, humiliate, or even punish for the discussion of "taboo" topics such as nudity? If you can talk to them about things like this then I suggest you do. Do your homework first so you know all you can learn about the naturist lifestyle, the benefits to clothes-free living, the positive mental and emotional effects, and so on. Be prepared to answer any of their questions, comments, or misconceptions about it. There's plenty you can read about family nudism and the benefits to children (ie. anyone under 18) being raised to be unafraid of the nude body. Great sources include Netnude.com, AANR.com, Naturist.com, NudistNaturistAmerica.org, FCN.ca (Canada), and the webpage of Sunnyday (http://sunnydaynew.atwebpages.com), a lady who's a nudist raising her 3 kids in the naturist lifestyle with her husband. There are also several psychological/sociological studies you can look up regarding the effects of nudity and the nudist lifestyle on children; just do a search for Marilyn Story. The best result of talking with your family would be if you were able to freely go nude at any time regardless of them being present at home. If they won't go for that, a good compromise would be in your room, and in the rest of the house if home alone, and no reprimand if they should find you nude because you didn't know they were home.
If you can't talk to your family about this and have to keep your nudity private, you just have to look for your opportunities for being nude. Being home alone is a good one, and of course sleeping nude is a given. Your opportunities outdoors and away from home really depend on your surrounding environment. If you live out in the country in a nice rural area you should be able to find secluded places where you can safely go nude for a while. If you live in an urban or suburban area and neighbors are close, it may be a bit more difficult. No matter what you do or where you go to enjoy being nude, always be cautious, alert, and aware of your surroundings. You want to relax but not so much you become complacent and not notice someone approaching. Whether you can find a compromise with your family or have to keep your nudity completely private, just wait a few years until you're able to gain independence and move out on your own, and you'll be perfectly free to live your life and set household clothing-optional rules however you see fit regardless of your family's objections.
To respond to the other replies so far:
Regarding "Sookie's" reply, there's no such thing as a nudist colony. Such places died out in the 1960s. What we have now are nudist (or naturist) resorts, camps, parks, communities, and clubs, depending on the features and amenities of the particular place. They do not hide from the public like the old colonies did, and instead are open to new visitors from the public to check them out, see what nudism is like, and perhaps take it on as a personal lifestyle.
Regarding "Robyn's" reply, who apparently knows nothing about the naturists or the nudist lifestyle, the worry of later effects and "will you still want to be a nudist?" are pointless. If you decide you no longer want to be a nudist, you simply start wearing clothes at all times. What the parents think really doesn't matter; if they don't like it while you're living at home they will rule against it; if they don't like it after you've moved away, so what? That's their opinion and you're living your own life. It won't necessarily affect any future relationships because (1) the future mate may already be a nudist, or (2) the future mate may become interested in it by learning about it through you and want to try it out. It has no effect on employment because nudism is a personal lifestyle that has nothing to do with one's ability to work or do some job. My naturist lifestyle has never been a factor whatsoever in any job I've ever had (or been unable to get). Even if someone lived in a nudist community, that would not prevent the person from getting dressed and going to work every day.
Regarding "Brandon's" reply, he makes it sound like being a nudist will automatically result in being attacked or raped. No, it does not. I've never heard of anyone being attacked as a result of being a nudist. The clothes-free way of life, socializing with other naturists, and the state of being nude is all perfectly safe. What makes life unsafe is unstable individuals who think nothing of doing harm to others, and that's regardless of what clothing the victim is or isn't wearing.